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schepotkina [342]
3 years ago
6

What is the solution to the equation below? Round your answer to two decimal places. 5^x=9.2

Mathematics
2 answers:
Montano1993 [528]3 years ago
5 0

Answer: 1.38=x

Step-by-step explanation:

Since the x is in the exponent place, we must use log to solve this problem.

Changing this equation from exponential to logarithmic is easy, just use this example:

Exponential: a^b=c

Logarithmic: log_{a}c=b

Let 5=a, x=b, and 9.2=c

Exponential: 5^x=9.2

Logarithmic: log_{5} 9.2=x

Now simply use a calculator to solve for the log to find x

1.37886=x

STALIN [3.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

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